As per the given graph, choose the correct representation for curve A… | JEE Main 2023 (11 Apr, Shift 1)

Q40JEE Main 2023 · 11 APR · SHIFT 1Easy

Pure R, L and C Circuits

As per the given graph, choose the correct representation for curve $A$ and curve B. Where $X_C =$ reactance of pure capacitive circuit connected with A.C. source

$X_L =$ reactance of pure inductive circuit connected with A.C. source

R = impedance of pure resistive circuit connected with A.C. source.

$Z =$ Impedance of the LCR series circuit

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Answer: (c)

$X_C = \frac{1}{2\pi f C} \propto \frac{1}{f}$ : a falling hyperbola, which is curve A.
$X_L = 2\pi f L \propto f$ : a straight line through the origin, which is curve B.
$R$ would be a horizontal line, and $Z$ of an LCR circuit has a minimum, so neither matches.
So the answer is (c) $A = X_C$ , $B = X_L$ .

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